The optimum output quantity of a duopoly market under a fuzzy decision environment

The main purpose of this paper is to develop a new optimum output quantity decision analysis of a duopoly market under a fuzzy decision environment. To efficiently handle the fuzziness of the decision variables, the linguistic values, subjectively represented by the trapezoidal fuzzy numbers, are used to act as the evaluation tool of decision variables such as fixed cost and unit variable cost. This paper will apply fuzzy set theory to construct an optimum output quantity decision model based on aiming for the maximum profit of a duopoly market. By using this decision model, the decision-makers’ fuzzy assessments with various variables can be considered in the decision process to assure more convincing and accurate decision-making. c © 2008 Elsevier Ltd. All rights reserved.